Question

The denominator of a fraction is 3 more than the numerator.if 2 is added to the numerator and 5 is added to the denominator,the fraction becomes half .find the fraction

Answer 1

let the numerator =x
denominator =x+3

the fraction =x/(x+3)----(1)
2 is added to numerator and 5 is added to denominator =1/2

(x+2)/(x+3+5) =1/2

(x+2)/(x+8)=1/2

2(x+2)=(x+8)
2x+4=x+8
2x-x=8-4
x=4

substitute x=4 in (1)

required fraction = x/(x+3)

=4/(4+3)
=4/7